On Depth Formula and Tor Game

깊이의 식과 토르 게임에 대하여

  • 최상기 (건국대학교 수학교육과)
  • Published : 2004.11.01


Homological algebra has emerged and developed since 1950s. However, in 1890's Hilbert investigated the resolutions in his Syzygy Theorem which is a vital ingredient in homological algebra. In 1956 Serre has proved the finite global dimension of regular local rings. His result give a basic tool in homological algebra. This paper also deals with the depth formula that was raised by Auslander in 1961.